Atkin-Lehner |
2+ 3+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
87360n |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
4402944000000 = 214 · 33 · 56 · 72 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6321,167121] |
[a1,a2,a3,a4,a6] |
j |
1705021456336/268734375 |
j-invariant |
L |
1.4854458211627 |
L(r)(E,1)/r! |
Ω |
0.74272290062949 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360fv2 5460g2 |
Quadratic twists by: -4 8 |